Hi I guess there must be people watching this list, interested in this.
I hope I now finally found the way I was looking for, to formulate a reduction rule for Kleene's Closure which can be used in replacement of Thompson's algorithm, or so I hope. I could be wrong about it, however. http://erik-poupaert.com/12001.html If anybody feels like veryfying the reduction rule and the resulting algorithm used to derive a regex DFA directly, feel free to let me know what your results are. The reduction rule is: T{a(xy)*b} = T{ab} + T {axyb} + T{axyxyb} With T{e} the collection of transitions derived from any regex e. By applying the rule recursively, one obtains all DFA transitions for any regex, or so I hope it is true. In such case, if proven to be true, it is truly a replacement for Thompson's algorithm. Greetings Erik Poupaert